We look at the division of 559263 by 19 
Let's see how many times 19 fits into 559263.

Let's proceed to step 1:
19 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 19

Going ahead to step 2:
55 divided by 19 is 2 with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 38 away from 55, we end up with 17.
Include the next digit (9) from the dividend after 17, then repeat: 179 / 19

Advancing to step 3:
If we divide 179 by 19, we get 9 and a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
Deduct 171 from 179 and we're left with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 19

Moving on to step 4:
When dividing 82 by 19, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 294.0
Deduct 76 from 82 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 19

On to step 5:
19 goes into 66 3 times with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 2943.0
If we take 57 away from 66, we end up with 9.
Bring next digit (3) of the dividend behind the 9 and repeat the process: 93 / 19

Let's proceed to step 6:
19 can be fit into 93 4 times, resulting in a remainder of 17.
The next digit of our result is 4. 
Result so far: 29434.0
If we subtract 76 from 93, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
19 goes into 170 8 times with a remainder of 18.
The next digit of our result is 8. 
Result so far: 29434.8
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
180 divided by 19 is 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 29434.89
Subtracting 171 from 180 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
When dividing 90 by 19, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 29434.894
Subtract 76 from 90 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
19 goes into 140 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 29434.8947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
70 divided by 19 is 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 29434.89473
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 12:
If we divide 130 by 19, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 29434.894736
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
19 goes into 160 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 29434.8947368
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
80 divided by 19 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 29434.89473684
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 29434.89473684 with a balance of 4e-09.